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45382590 = 23251145841
BaseRepresentation
bin1010110100011…
…1101110111110
310011101200012200
42231013232332
543104220330
64300412330
71060513521
oct255075676
9104350180
1045382590
1123687680
12132470a6
13952c806
146054bb8
153eb6a60
hex2b47bbe

45382590 has 48 divisors (see below), whose sum is σ = 128724336. Its totient is φ = 11001600.

The previous prime is 45382559. The next prime is 45382591. The reversal of 45382590 is 9528354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45382591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21931 + ... + 23910.

It is an arithmetic number, because the mean of its divisors is an integer number (2681757).

Almost surely, 245382590 is an apocalyptic number.

45382590 is an abundant number, since it is smaller than the sum of its proper divisors (83341746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45382590 is a wasteful number, since it uses less digits than its factorization.

45382590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45865 (or 45862 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 45382590 is about 6736.6601517369. The cubic root of 45382590 is about 356.6945106900.

The spelling of 45382590 in words is "forty-five million, three hundred eighty-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 45841 91682 137523 229205 275046 412569 458410 504251 687615 825138 1008502 1375230 1512753 2062845 2521255 3025506 4125690 4538259 5042510 7563765 9076518 15127530 22691295 45382590